Sean, Perry and Luis have some stickers. The ratios of their stickers are as follows:
Sean : (Sean + Perry + Luis) = 1 : 5
Perry : (Sean + Luis) = 1 : 5
Luis has 98 stickers more than Perry. In the end, Luis gives away all he has to Perry and Sean so that both Perry and Sean end up with the same number of stickers, how many stickers has Sean received from Luis?
Perry |
Luis |
Sean |
Total |
4x6 |
1x6 |
5x6 |
1x5 |
5x5 |
6x5 |
5 u |
19 u |
6 u |
30 u |
The total number of stickers is repeated. Make the total number of stickers the same. LCM of 5 and 6 is 30.
Number of stickers that Luis has more than Perry
= 19 u - 5 u
= 14 u
14 u = 98
1 u = 98 ÷ 14 = 7
|
Perry |
Luis |
Sean |
Before |
5 u |
19 u |
6 u |
Change |
+ 10 u |
- 19 u |
+ 9 u |
After |
15 u |
0 u |
15 u |
Number of stickers that Sean has received from Luis
= 15 u - 6 u
= 9 u
= 9 x 7
= 63
Answer(s): 63